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The relation between degrees of belief and binary beliefs: A general impossibility theorem

In Lotteries, Knowledge, and Rational Belief. Essays on the Lottery Paradox. Cambridge University Press. pp. 223-54 (2021)

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  1. Categorical Versus Graded Beliefs.Franz Dietrich - manuscript
    This essay discusses the difficulty to reconcile two paradigms about beliefs: the binary or categorical paradigm of yes/no beliefs and the probabilistic paradigm of degrees of belief. The possibility for someone to hold both types of belief simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem. The nature, relevance, and implications of the tension are explained and assessed. A more technical elaboration can be found in Dietrich and List (2018, 2021).
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  • Perception and Probability.Alex Byrne - 2021 - Philosophy and Phenomenological Research:1-21.
    One very popular framework in contemporary epistemology is Bayesian. The central epistemic state is subjective confidence, or credence. Traditional epistemic states like belief and knowledge tend to be sidelined, or even dispensed with entirely. Credences are often introduced as familiar mental states, merely in need of a special label for the purposes of epistemology. But whether they are implicitly recognized by the folk or posits of a sophisticated scientific psychology, they do not appear to fit well with perception, as is (...)
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